3. Consider the function f : R - R defined by 0 0

3. Consider the function f : defined by o o < 1.5 1.5 < r < 3 o where c is an undetertnined eonst,nnt. (a) For what value Of c is density function? (b) Suppose that a continuoiiS inndqnn variable X has probability density function J. Copqnrt,e. EX. (Hint: Draw a picture of thc pdf.) (c) Compute > (d) Suppose that Y 3). Which random variable has the larger variance, X or Y? (Hint: Draw a picture of the two pdfs.) (e) Determine and graph the cumulative distribution funct.ion of X.